Test 3: Concept Review

• absolute maxima and absolute minima
• local maxima and local minima
• critical points
• Extreme Value Theorem
• Fermat's theorem
• The closed interval method
• Rolle's theorem
• Mean Value theorem
• Increasing/decreasing test
• First derivative test
• concave up and concave down
• inflection points
• Concavity test
• Second Derivative test
• horizontal asymptotes
• slant asymptotes
• First derivative test for absolute extreme values
• optimization problems
• Newton's method (graphical idea, iterative scheme, things that can go wrong)
• rational and irrational numbers

Again, don't forget the basics from the first two tests. While the focus will be on the new material, you will still be expected to be able to use the old stuff!